Pith Number

pith:O5KGJ6UH

pith:2011:O5KGJ6UHCUVG3AY7NR54NVKAXZ

not attested not anchored not stored refs pending

Renormalisation group and the Planck scale

Daniel F. Litim

arxiv:1102.4624 v1 · 2011-02-22 · hep-th · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5KGJ6UHCUVG3AY7NR54NVKAXZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:12:56.388871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

775464fa87152a6d831f6c7bc6d540be53ae3878b38cf1163a5049fa5b2307ff

Aliases

arxiv: 1102.4624 · arxiv_version: 1102.4624v1 · doi: 10.48550/arxiv.1102.4624 · pith_short_12: O5KGJ6UHCUVG · pith_short_16: O5KGJ6UHCUVG3AY7 · pith_short_8: O5KGJ6UH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O5KGJ6UHCUVG3AY7NR54NVKAXZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 775464fa87152a6d831f6c7bc6d540be53ae3878b38cf1163a5049fa5b2307ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e58a02ce770d39f5b9b19050a569f844061b76d516d59a41c7fe02626e83023b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-02-22T21:15:17Z",
    "title_canon_sha256": "2692b1347911bf9800adc165820053ac50163bd10287002516d37c85b43b0afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4624",
    "kind": "arxiv",
    "version": 1
  }
}